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Simplifying 9x + 24 = 5x + 100 Reorder the terms: 24 + 9x = 5x + 100 Reorder the terms: 24 + 9x = 100 + 5x Solving 24 + 9x = 100 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 9x + -5x = 100 + 5x + -5x Combine like terms: 9x + -5x = 4x 24 + 4x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 4x = 100 + 0 24 + 4x = 100 Add '-24' to each side of the equation. 24 + -24 + 4x = 100 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 100 + -24 4x = 100 + -24 Combine like terms: 100 + -24 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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